 | Robert Simson - Trigonometry - 1806 - 546 pages
...but the angles AGH, BGH are equal a to two right angles ; therefore a 13. 1. the angles BGH, GHD are less than two right angles ; but those straight lines...angles on the same side less than two right angles, do meet* together if continually produced ; therefore • 12. •«. the straight lines AB, CD, if... | |
 | Euclides - 1814 - 560 pages
...angles ; therefore the . 13. i. angles BGH, GHD, are less than two right angles; but those straight hnes which, with another straight line falling upon them,...angles on the same side less than two right angles, do meet* together it' continually * 12 Ax. produced ; therefore the straight lines AB, CD, if produced... | |
 | Euclides - 1816 - 588 pages
...the angles AGH, BGH, are equal a to two right angles ; therefore the • 13. 1. angles BGH, GHD, are less than two right angles ; but those straight lines...angles on the same side less than two right angles, do meet* together if continually * ig AX.' produced; therefore the straight lines AB, CD, if produced... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...GHD; but the angles AGH, BGH are equal (13. 1.) to two right angles; therefore the angles BGH, GHD are less than two right angles; but those straight lines...upon them, make the interior angles on the same side leas than two right angles, do meet (12 ax.)* together if continually produced; therefore the straight... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...but the angles AGH, BGH are equal (13. 1.) to two right angles ; therefore the angles HGH, GHD ; are less than two right angles ; but those straight lines which, with another straight line tilling upon them, make the interior angles on the same side less than two right angles, do meet (12.... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...BGH, GHD : but the angles AGH, BGH are equal * to two right angles ; therefore the angles BGH, GHD are less than two right angles : but those straight lines...angles, will meet * together if continually produced; therefore the straight lines AB, CD, if produced far enough, will meet : but they never meet, since... | |
 | Euclides - 1834 - 518 pages
...but the angles t AGH, BGH are equal * to two right angles ; therefore the * IS. angles BG.H, GHD are less than two right angles : but those straight lines...angles, will meet * together if continually produced; * 12 A*, therefore the straight lines AB, CD, if produced far enough, See lhe \ will meet : but they... | |
 | Euclid - 1835 - 540 pages
...but the angles AGH, a 13. 1. BGH are equal a to two right angles ; therefore the angles BGH, GHD are less than two right angles ; but those straight lines...angles on the same side less than two right angles, * 12. ax. do meet * together if continually produced ; therefore the s«e the straight lines AB, CD,... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...angles. PROPOSITION XXI. THEOREM. If a straight line meet two other straight lines, making the sum of 'the interior angles on the same side less than two right angles, the two lines will meet if sufficiently produced. Letthe line EF meet the two lines CD, IH, making... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...to two right angles ; therefore the angles BGH, GHD are less than two right angles. But (I. ax. 12.) those straight lines which, with another straight...them, make the interior angles on the same side less that two right angles, meet together, if continually produced ; therefore the straight lines AB, CD,... | |
| |
That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles. 
